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Finding the Fourth Proportional to 12,090.57, 16,683.39 and 6,785.34

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Solution

The fourth proportional to 12,090.57, 16,683.39 and 6,785.34 is: 9,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.57 : 16,683.39 = 6,785.34 : x
  2. Step 2: Convert to fraction form
    12,090.57/16,683.39 = 6,785.34/x
  3. Step 3: Cross multiply
    12,090.57x = 16,683.39 × 6,785.34
  4. Step 4: Simplify right side
    12,090.57x = 113,202,473.50
  5. Step 5: Solve for x
    x = 113,202,473.50/12,090.57
  6. Step 6: Final answer
    x = 9,362.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.